100000100509 has 2 divisors, whose sum is σ = 100000100510. Its totient is φ = 100000100508.

The previous prime is 100000100443. The next prime is 100000100527. The reversal of 100000100509 is 905001000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68957184409 + 31042916100 = 262597^2 + 176190^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000100509 - 2²⁵ = 99966546077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100000100492 and 100000100501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100000100549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000050254 + 50000050255.

It is an arithmetic number, because the mean of its divisors is an integer number (50000050255).

Almost surely, 2^100000100509 is an apocalyptic number.

It is an amenable number.

100000100509 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000100509 is an equidigital number, since it uses as much as digits as its factorization.

100000100509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45, while the sum is 16.

The spelling of 100000100509 in words is "one hundred billion, one hundred thousand, five hundred nine".